3. Calculate the Laplace transform L{(t+ V5)(2t³3 – V3)}.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Calculate the Laplace transform L {(t² – 4) sin(t)}.
2. Calculate the Laplace transform L {12e¬t cos²(3t)}.
3. Calculate the Laplace transform L {(t+ v5)(2t³ - V3)}.
4. A function y(t) satisfies the IVP 2y' – 3y = et +2, y(0) = 4. Use the properties of the Laplace
transform to calculate L {y} =Y(s).
Transcribed Image Text:1. Calculate the Laplace transform L {(t² – 4) sin(t)}. 2. Calculate the Laplace transform L {12e¬t cos²(3t)}. 3. Calculate the Laplace transform L {(t+ v5)(2t³ - V3)}. 4. A function y(t) satisfies the IVP 2y' – 3y = et +2, y(0) = 4. Use the properties of the Laplace transform to calculate L {y} =Y(s).
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